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Simplifying (8x + 15) + -1(3x + 8) = 4x + -1 Reorder the terms: (15 + 8x) + -1(3x + 8) = 4x + -1 Remove parenthesis around (15 + 8x) 15 + 8x + -1(3x + 8) = 4x + -1 Reorder the terms: 15 + 8x + -1(8 + 3x) = 4x + -1 15 + 8x + (8 * -1 + 3x * -1) = 4x + -1 15 + 8x + (-8 + -3x) = 4x + -1 Reorder the terms: 15 + -8 + 8x + -3x = 4x + -1 Combine like terms: 15 + -8 = 7 7 + 8x + -3x = 4x + -1 Combine like terms: 8x + -3x = 5x 7 + 5x = 4x + -1 Reorder the terms: 7 + 5x = -1 + 4x Solving 7 + 5x = -1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 7 + 5x + -4x = -1 + 4x + -4x Combine like terms: 5x + -4x = 1x 7 + 1x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + 1x = -1 + 0 7 + 1x = -1 Add '-7' to each side of the equation. 7 + -7 + 1x = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = -1 + -7 1x = -1 + -7 Combine like terms: -1 + -7 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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